20ml of he is diffused through a hole in 10 sec at a pressure of 2atm, find the volume of CH4 diffused in same time at a pressure of 1 atm
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Answer:
The rate of effusion is directly proportional to the mole fraction and inversely proportional to the square root of molar mass.
r
′
r
=
V
′
V
×
t
t
′
=
X
′
X
×
M
M
′
Here, r,V,t,X and M are the rate of diffusion, volume diffused, time for diffusion, mole fraction and the molar mass for He respectively
and r
′
,V
′
,t
′
,X
′
and M
′
are the rate of diffusion, volume diffused, time for diffusion, mole fraction and the molar mass for methane respectively
X
X
×
5
t
′
=
1
2
×
4
16
t
′
=40sec
Hence, the time required to effuse same volume of methane gas is 40 sec.
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